A linear programming problem has three constraints X Y X

Question

A linear programming problem has three constraints:

2X + 10Y u2264 1004X + 6Y u2264 1206X + 3Y u2264 90

What is the largest quantity of X that can be made without violating any of these constraints?

A) 50

B) 30

C) 20

D) 15

E) 10

Answer: D

28) Suppose that an iso-profit line is given to be X+Y=15. What would be the profit made from producing 20X and 10Y?

A) 15

B) 30

C) 0

D) 20X and 10Y is not a feasible solution.

E) Unable to determine

Answer: B

29) Suppose that an iso-profit line is given to be X+Y=10. Which of the following represents another iso-profit line for the same scenario?

A) X+Y=15

B) X-Y=10

C) Y-X=10

D) 2X+Y=10

E) None of the above

Answer: A

30) Suppose that a maximization LP problem has corners of (0,0), (10,0), (5,5), and (0,7). If profit is given to be X+ 2Y what is the maximum profit the company can earn?

A) $0

B) $10

C) $15

D) $14

E) None of the above or Unable to determine

Answer: C

31) Suppose that a maximization LP problem has corners of (0,0), (5,0), and (0,5). How many possible combinations of X and Y will yield the maximum profit if profit is given to be 5X+5Y?

A) 0

B) 1

C) 2

D) 5

E) Infinite

Answer: E